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We investigate the entrainment of a neuron model exhibiting a chaotic spiking-bursting behavior in response to a weak periodic force. This model exhibits two types of oscillations with different characteristic time scales, namely, long and…

Chaotic Dynamics · Physics 2015-06-05 Hiroyasu Ando , Hiromichi Suetani , Juergen Kurths , Kazuyuki Aihara

We theoretically study analytic-phase synchronization in strongly-competing oscillator systems. Using the example of composite-cavity modes coupled via a class-B laser active medium, we discover that inherent chaotic phase synchronization…

Chaotic Dynamics · Physics 2007-05-23 Sebastian Wieczorek , Weng W. Chow

The use of reverse time chaos allows the realization of hardware chaotic systems that can operate at speeds equivalent to existing state of the art while requiring significantly less complex circuitry. Matched filter decoding is possible…

Data Analysis, Statistics and Probability · Physics 2016-10-11 J. Phillip Bailey , Aubrey N. Beal , Robert N. Dean , Michael C. Hamilton

We study an ensemble of identical noisy phase oscillators with a blinking mean-field coupling, where one-cluster and two-cluster synchronous states alternate. In the thermodynamic limit the population is described by a nonlinear…

Chaotic Dynamics · Physics 2015-06-15 Pavel V. Kuptsov , Sergey P. Kuznetsov , Arkady Pikovsky

We characterize the synchronization of an array of coupled chaotic elements as a phase transition where order parameters related to the joint probability at two sites obey power laws versus the mutual coupling strength; the phase transition…

Chaotic Dynamics · Physics 2007-05-23 F. T. Arecchi , M. Ciszak

Optical non-linearities, such as thermo-optic effects and free-carrier-dispersion, are often considered as undesired effects in silicon-based resonators and, more specifically, optomechanical (OM) cavities, affecting the relative detuning…

The phenomena of intermittent and complete synchronization between two out of three identical, magnetically coupled SQUIDs (Superconducting QUantum Interference Devices) are investigated numerically. SQUIDs are highly nonlinear…

Pattern Formation and Solitons · Physics 2021-09-15 J. Shena , N. Lazarides , J. Hizanidis

The harmonic oscillator is an essential tool, widely used in all branches of Physics in order to understand more realistic systems, from classical to quantum and relativistic regimes. We know that the harmonic oscillator is integrable in…

Chaotic Dynamics · Physics 2018-11-15 Ronaldo S. S. Vieira , Tatiana A. Michtchenko

Many biological and chemical systems could be modeled by a population of oscillators coupled indirectly via a dynamical environment. Essentially, the environment by which the individual elements communicate is heterogeneous. Nevertheless,…

Chaotic Dynamics · Physics 2017-05-24 Bing-Wei Li , Xiao-Zhi Cao , Chenbo Fu

Synchronization is a widespread phenomenon encountered in many natural and engineered systems with nonlinear classical dynamics. How synchronization concepts and mechanisms transfer to the quantum realm and whether features are universal or…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Florian Höhe , Lukas Danner , Ciprian Padurariu , Brecht I. C Donvil , Joachim Ankerhold , Björn Kubala

This paper summarises a numerical investigation of phase mixing in time-independent Hamiltonian systems that admit a coexistence of regular and chaotic phase space regions, allowing also for low amplitude perturbations idealised as periodic…

Astrophysics · Physics 2007-05-23 Henry E. Kandrup , Steven J. Novotny

A chaotic dynamics is typically characterized by the emergence of strange attractors with their fractal or multifractal structure. On the other hand, chaotic synchronization is a unique emergent self-organization phenomenon in nature.…

We examine a spatial evolution of lightwaves in a nonlinear photonic crystal with a quadratic nonlinearity when simultaneously a second harmonic and a sum-frequency generation are quasi-phase-matched. We find the conditions of a transition…

Optics · Physics 2009-11-07 Kirill N. Alekseev , Aleksey V. Ponomarev

Here, we research a novel cavity magnomechanical system, where magnon driven by a microwave field couples with a phonon mode with a nonlinear magneostrictive interaction (radiation pressure-like). Based on this interaction, we numerically…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Mei Wang , Duo Zhang , Yu-Ying Wu , Tai-Shuang Yin , Zhao-Yu Sun

We investigate both continuous (second-order) and discontinuous (first-order) transitions to macroscopic synchronization within a single class of discrete, stochastic (globally) phase-coupled oscillators. We provide analytical and numerical…

Statistical Mechanics · Physics 2009-11-13 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

Experimental studies of synchronization properties on networks with controlled connection topology can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection…

Chaotic Dynamics · Physics 2011-07-28 Bhargava Ravoori , Adam B. Cohen , Jie Sun , Adilson E. Motter , Thomas E. Murphy , Rajarshi Roy

Achieving simultaneous lasing of photons and phonons in optomechanical setups has great potential for applications in quantum information processing, high precision sensing and the design of hybrid photonic-phononic devices. Here, we…

Quantum Physics · Physics 2025-04-25 Vitalie Eremeev , Hugo Molinares , Luis A. Correa , Bing He

We present an approach which enables to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase. We show that if one defines a typical event in one oscillator and then observes another…

Statistical Mechanics · Physics 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

We demonstrate the deterministic coherence and anti-coherence resonance phenomena in two coupled identical chaotic Lorenz oscillators. Both effects are found to occur simultaneously when varying the coupling strength. In particular, the…

Chaotic Dynamics · Physics 2026-03-11 Pavel S. Komkov , Ol'ga I. Moskalenko , Vladimir V. Semenov , Sergei V. Grishin

Nonlinear optomechanical coupling is the basis for many potential future experiments in quantum optomechanics (e.g., quantum non-demolition measurements, preparation of non-classical states), which to date have been difficult to realize due…